21452679360 has 896 divisors, whose sum is σ = 90509506560. Its totient is φ = 4682022912.

The previous prime is 21452679331. The next prime is 21452679379. The reversal of 21452679360 is 6397625412.

21452679360 is a `hidden beast` number, since 21 + 4 + 5 + 267 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189846664 + ... + 189846776.

Almost surely, 2^21452679360 is an apocalyptic number.

21452679360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21452679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45254753280).

21452679360 is an abundant number, since it is smaller than the sum of its proper divisors (69056827200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21452679360 is a wasteful number, since it uses less digits than its factorization.

21452679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 21452679360 in words is "twenty-one billion, four hundred fifty-two million, six hundred seventy-nine thousand, three hundred sixty".